Description of Motion - Scalar vs Vector Quantities

Practice Problems
Description of Motion - Scalar vs Vector Quantities

Directions: On this worksheet you will practice with the basic definitions of introductory motion.

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Question 1 A bike messenger traveled 3 blocks North, 4 blocks East, 5 blocks South, and finally 10 blocks West in order to deliver a package in the traffic, congested city. If his trip took 36 minutes, what was the magnitude of his average velocity in blocks/minute?

6.32 x 10⁰6.11 x 10^-11.76 x 10^-12.22 x 10^-12.2 x 10¹

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Question 2 If the messenger in Question #1 could have traveled directly to his destination, what would have been the direction of his net displacement?

197.5 deg108.4 deg161.6 deg198.4 deg162.5 deg

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Question 3 The magnitude of an object's average velocity can ONLY equal the magnitude of its average speed when the object is

standing stilltraveling in a circletraveling in a
straight linetraveling in successive
directions that change by 90º

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Question 4 A scalar is a quantity that can be completely described by stating its

directionsize and directionsize

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Question 5 A family taking a vacation traveled 4 hours at 65 mph and then 3 hours at only 50 mph. What was their average speed during this trip?

57.5 mph48.6 mph56.4 mph58.6 mph

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Question 6 Which quantity is NOT a scalar?

timemassaccelerationdistance

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Question 7 Which description of an object's motion is more specific: moving at a constant speed or moving at a constant velocity?

constant speed since it demands that the object
has to maintain a constant rate
regardless of its direction of motionthe two terms are completely equivalentconstant velocity since it demands that the object
not only move at a constant rate,
but also maintain a constant direction

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Question 8 A student warming up for practice travels one full circuit, 400 meters, around the track. Initially he jogs 72 meters at 1.5 m/sec, then runs 216 meters at 2.2 m/sec, and finally cools down by finishing the final 112 meters at 1.0 m/sec. What was his average speed?

1.57 m/sec2.35 m/sec1.55 m/sec1.74 m/sec

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Question 9 What was the student's average velocity in Question #8?

0 m/secthe same as his average speedcannot be determined

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Question 10 During a 30 minute period of time, one car moves at a constant velocity of 45 mph, N, while a second car moves at a constant velocity of 45 mph, W. During this time interval, the cars would have the same

A. instantaneous speed

B. instantaneous velocity

C. displacement

D. acceleration

A and CB and CA and DC and DB and D

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Question 11 A moving van completes its journey of 540 kilometers in 10 hours. Approximately how far should it have traveled 8 hours after beginning its trip?

346 km108 km68 km432 km